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345641148 = 223323347401
BaseRepresentation
bin10100100110100…
…001000010111100
3220002101101112000
4110212201002330
51201441004043
654144142300
711364621066
oct2446410274
9802341460
10345641148
11168118346
1297907990
13567bb1b8
1433c94736
15205272d3
hex149a10bc

345641148 has 96 divisors (see below), whose sum is σ = 940101120. Its totient is φ = 109612800.

The previous prime is 345641119. The next prime is 345641173. The reversal of 345641148 is 841146543.

345641148 is a `hidden beast` number, since 3 + 4 + 5 + 641 + 1 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861748 + ... + 862148.

It is an arithmetic number, because the mean of its divisors is an integer number (9792720).

Almost surely, 2345641148 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 345641148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470050560).

345641148 is an abundant number, since it is smaller than the sum of its proper divisors (594459972).

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

345641148 is a wasteful number, since it uses less digits than its factorization.

345641148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 345641148 is about 18591.4267338470. The cubic root of 345641148 is about 701.7921073348.

The spelling of 345641148 in words is "three hundred forty-five million, six hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 347 401 414 621 694 802 828 1041 1203 1242 1388 1604 2082 2406 2484 3123 3609 4164 4812 6246 7218 7981 9223 9369 10827 12492 14436 15962 18446 18738 21654 23943 27669 31924 36892 37476 43308 47886 55338 71829 83007 95772 110676 139147 143658 166014 215487 249021 278294 287316 332028 417441 430974 498042 556588 834882 861948 996084 1252323 1669764 2504646 3200381 3756969 5009292 6400762 7513938 9601143 12801524 15027876 19202286 28803429 38404572 57606858 86410287 115213716 172820574 345641148