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3394180452 = 223133314153
BaseRepresentation
bin1100101001001111…
…0001010101100100
322202112202020021010
43022103301111210
523422402233302
61320445022220
7150053025555
oct31223612544
98675666233
103394180452
111491a21013
127a8854970
13421269000
14242ad432c
1514cea816c
hexca4f1564

3394180452 has 96 divisors (see below), whose sum is σ = 8858321920. Its totient is φ = 1010430720.

The previous prime is 3394180429. The next prime is 3394180453. The reversal of 3394180452 is 2540814933.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3394180452.

It is not an unprimeable number, because it can be changed into a prime (3394180453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815208 + ... + 819360.

Almost surely, 23394180452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394180452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429160960).

3394180452 is an abundant number, since it is smaller than the sum of its proper divisors (5464141468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3394180452 is a wasteful number, since it uses less digits than its factorization.

3394180452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3394180452 is about 58259.5953641973. The cubic root of 3394180452 is about 1502.8361824440.

The spelling of 3394180452 in words is "three billion, three hundred ninety-four million, one hundred eighty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 676 806 1014 1209 1612 2028 2197 2418 4153 4394 4836 5239 6591 8306 8788 10478 12459 13182 15717 16612 20956 24918 26364 31434 49836 53989 62868 68107 107978 128743 136214 161967 204321 215956 257486 272428 323934 386229 408642 514972 647868 701857 772458 817284 1403714 1544916 1673659 2105571 2807428 3347318 4211142 5020977 6694636 8422284 9124141 10041954 18248282 20083908 21757567 27372423 36496564 43515134 54744846 65272701 87030268 109489692 130545402 261090804 282848371 565696742 848545113 1131393484 1697090226 3394180452