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352342540 = 225111012157
BaseRepresentation
bin10101000000000…
…101001000001100
3220112222212002201
4111000011020030
51210144430130
654543531244
711505601504
oct2500051014
9815885081
10352342540
11170985190
1299bb9b24
1357cc6514
1434b1aa04
1520decbca
hex1500520c

352342540 has 72 divisors (see below), whose sum is σ = 820448496. Its totient is φ = 126048000.

The previous prime is 352342531. The next prime is 352342579. The reversal of 352342540 is 45243253.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 352342499 and 352342508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2244142 + ... + 2244298.

It is an arithmetic number, because the mean of its divisors is an integer number (11395118).

Almost surely, 2352342540 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 352342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410224248).

352342540 is an abundant number, since it is smaller than the sum of its proper divisors (468105956).

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

352342540 is a wasteful number, since it uses less digits than its factorization.

352342540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 352342540 is about 18770.7895411994. The cubic root of 352342540 is about 706.2986241616.

Adding to 352342540 its reverse (45243253), we get a palindrome (397585793).

The spelling of 352342540 in words is "three hundred fifty-two million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 157 202 220 314 404 505 628 785 1010 1111 1570 1727 2020 2222 3140 3454 4444 5555 6908 8635 10201 11110 15857 17270 20402 22220 31714 34540 40804 51005 63428 79285 102010 112211 158570 174427 204020 224422 317140 348854 448844 561055 697708 872135 1122110 1601557 1744270 2244220 3203114 3488540 6406228 8007785 16015570 17617127 32031140 35234254 70468508 88085635 176171270 352342540