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353480072 = 231129138511
BaseRepresentation
bin10101000100011…
…010110110001000
3220122010122111112
4111010122312020
51210442330242
655024145452
711521350101
oct2504326610
9818118445
10353480072
111715918a0
129a468288
135830420a
1434d353a8
1521074c82
hex1511ad88

353480072 has 32 divisors (see below), whose sum is σ = 747964800. Its totient is φ = 155131200.

The previous prime is 353480059. The next prime is 353480093. The reversal of 353480072 is 270084353.

It is a happy number.

It is a super-2 number, since 2×3534800722 = 249896322602250368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66704 + ... + 71807.

It is an arithmetic number, because the mean of its divisors is an integer number (23373900).

Almost surely, 2353480072 is an apocalyptic number.

It is an amenable number.

353480072 is an abundant number, since it is smaller than the sum of its proper divisors (394484728).

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

353480072 is a wasteful number, since it uses less digits than its factorization.

353480072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138557 (or 138553 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 353480072 is about 18801.0657144748. The cubic root of 353480072 is about 707.0578987452.

The spelling of 353480072 in words is "three hundred fifty-three million, four hundred eighty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 138511 277022 554044 1108088 1523621 3047242 4016819 6094484 8033638 12188968 16067276 32134552 44185009 88370018 176740036 353480072