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114378964 = 22731313421
BaseRepresentation
bin1101101000101…
…00100011010100
321222020001102221
412310110203110
5213240111324
615203312124
72556130240
oct664244324
9258201387
10114378964
1159622677
123237b644
131a90957b
1411295420
15a0950e4
hex6d148d4

114378964 has 48 divisors (see below), whose sum is σ = 237454336. Its totient is φ = 47174400.

The previous prime is 114378961. The next prime is 114378967. The reversal of 114378964 is 469873411.

It is an interprime number because it is at equal distance from previous prime (114378961) and next prime (114378967).

It is a self number, because there is not a number n which added to its sum of digits gives 114378964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114378961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271474 + ... + 271894.

Almost surely, 2114378964 is an apocalyptic number.

114378964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114378964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118727168).

114378964 is an abundant number, since it is smaller than the sum of its proper divisors (123075372).

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

114378964 is a wasteful number, since it uses less digits than its factorization.

114378964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 774 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 114378964 is about 10694.8101432424. The cubic root of 114378964 is about 485.4174519008.

The spelling of 114378964 in words is "one hundred fourteen million, three hundred seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 313 421 434 626 842 868 1252 1684 2191 2947 4382 5894 8764 9703 11788 13051 19406 26102 38812 52204 67921 91357 131773 135842 182714 263546 271684 365428 527092 922411 1844822 3689644 4084963 8169926 16339852 28594741 57189482 114378964