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352668978 = 23417373461
BaseRepresentation
bin10101000001010…
…100110100110010
3220120121102220000
4111001110310302
51210240401403
654554530430
711511431304
oct2501246462
9816542800
10352668978
11171088472
129a136a16
13580abc8c
1434ba3974
1520e647a3
hex15054d32

352668978 has 80 divisors (see below), whose sum is σ = 859586904. Its totient is φ = 107619840.

The previous prime is 352668949. The next prime is 352668983. The reversal of 352668978 is 879866253.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 341399529 + 11269449 = 18477^2 + 3357^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100168 + ... + 103628.

Almost surely, 2352668978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352668978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429793452).

352668978 is an abundant number, since it is smaller than the sum of its proper divisors (506917926).

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

352668978 is a wasteful number, since it uses less digits than its factorization.

352668978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3520 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 352668978 is about 18779.4829002292. The cubic root of 352668978 is about 706.5166804722.

It can be divided in two parts, 35266 and 8978, that added together give a palindrome (44244).

The spelling of 352668978 in words is "three hundred fifty-two million, six hundred sixty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 918 999 1258 1377 1887 1998 2754 2997 3461 3774 5661 5994 6922 10383 11322 16983 20766 31149 33966 50949 58837 62298 93447 101898 117674 128057 176511 186894 256114 280341 353022 384171 529533 560682 768342 1059066 1152513 1588599 2176969 2305026 3177198 3457539 4353938 4765797 6530907 6915078 9531594 10372617 13061814 19592721 20745234 39185442 58778163 117556326 176334489 352668978