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961691346 = 2337211193747
BaseRepresentation
bin111001010100100…
…011111011010010
32111000120222112000
4321110203323102
53432143110341
6235232214430
732555145600
oct7124437322
92430528460
10961691346
11453938a40
1222a09a416
13124316445
1491a18870
15596658b6
hex39523ed2

961691346 has 384 divisors, whose sum is σ = 2994278400. Its totient is φ = 225348480.

The previous prime is 961691329. The next prime is 961691351. The reversal of 961691346 is 643196169.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20461495 + ... + 20461541.

It is an arithmetic number, because the mean of its divisors is an integer number (7797600).

Almost surely, 2961691346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961691346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497139200).

961691346 is an abundant number, since it is smaller than the sum of its proper divisors (2032587054).

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

961691346 is a wasteful number, since it uses less digits than its factorization.

961691346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 961691346 is about 31011.1487371881. The cubic root of 961691346 is about 987.0638256598.

The spelling of 961691346 in words is "nine hundred sixty-one million, six hundred ninety-one thousand, three hundred forty-six".