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114374676 = 2231323127251
BaseRepresentation
bin1101101000100…
…11100000010100
321222012211120010
412310103200110
5213234442201
615203240220
72556111603
oct664234024
9258184503
10114374676
115961a429
1232379070
131a907630
1411293a3a
15a093bd6
hex6d13814

114374676 has 96 divisors (see below), whose sum is σ = 303464448. Its totient is φ = 33264000.

The previous prime is 114374647. The next prime is 114374713. The reversal of 114374676 is 676473411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455551 + ... + 455801.

It is an arithmetic number, because the mean of its divisors is an integer number (3161088).

Almost surely, 2114374676 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 114374676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151732224).

114374676 is an abundant number, since it is smaller than the sum of its proper divisors (189089772).

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

114374676 is a wasteful number, since it uses less digits than its factorization.

114374676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 114374676 is about 10694.6096702965. The cubic root of 114374676 is about 485.4113858202.

The spelling of 114374676 in words is "one hundred fourteen million, three hundred seventy-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 127 138 156 251 254 276 299 381 502 508 598 753 762 897 1004 1196 1506 1524 1651 1794 2921 3012 3263 3302 3588 4953 5773 5842 6526 6604 8763 9789 9906 11546 11684 13052 17319 17526 19578 19812 23092 31877 34638 35052 37973 39156 63754 69276 75049 75946 95631 113919 127508 150098 151892 191262 225147 227838 300196 382524 414401 450294 455676 733171 828802 900588 1243203 1466342 1657604 2199513 2486406 2932684 4399026 4972812 8798052 9531223 19062446 28593669 38124892 57187338 114374676