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340625952 = 25332361281
BaseRepresentation
bin10100010011011…
…000101000100000
3212201221120222000
4110103120220200
51144200012302
653444444000
711304162402
oct2423305040
9781846860
10340625952
11165302357
12960a9600
1355753524
143334ab72
151ed8631c
hex144d8a20

340625952 has 192 divisors, whose sum is σ = 1057432320. Its totient is φ = 106444800.

The previous prime is 340625933. The next prime is 340625963. The reversal of 340625952 is 259526043.

340625952 is a `hidden beast` number, since 3 + 4 + 0 + 62 + 595 + 2 = 666.

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

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, 1212052 + ... + 1212332.

It is an arithmetic number, because the mean of its divisors is an integer number (5507460).

Almost surely, 2340625952 is an apocalyptic number.

340625952 is a gapful number since it is divisible by the number (32) 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 340625952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528716160).

340625952 is an abundant number, since it is smaller than the sum of its proper divisors (716806368).

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

340625952 is a wasteful number, since it uses less digits than its factorization.

340625952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 340625952 is about 18456.0546163041. The cubic root of 340625952 is about 698.3812609372.

The spelling of 340625952 in words is "three hundred forty million, six hundred twenty-five thousand, nine hundred fifty-two".