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354420820 = 225131363157
BaseRepresentation
bin10101001000000…
…000100001010100
3220200220102222001
4111020000201110
51211212431240
655100245044
711532345565
oct2510004124
9820812861
10354420820
11172074676
129a840784
1358573480
14350dc16c
15211ad89a
hex15200854

354420820 has 24 divisors (see below), whose sum is σ = 801536904. Its totient is φ = 130862976.

The previous prime is 354420809. The next prime is 354420827. The reversal of 354420820 is 28024453.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 348718276 = 2388^2 + 18674^2 .

It is a super-2 number, since 2×3544208202 = 251228235298944800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354420827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681319 + ... + 681838.

It is an arithmetic number, because the mean of its divisors is an integer number (33397371).

Almost surely, 2354420820 is an apocalyptic number.

It is an amenable number.

354420820 is an abundant number, since it is smaller than the sum of its proper divisors (447116084).

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

354420820 is a wasteful number, since it uses less digits than its factorization.

354420820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363179 (or 1363177 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 354420820 is about 18826.0675660107. The cubic root of 354420820 is about 707.6845951670.

The spelling of 354420820 in words is "three hundred fifty-four million, four hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1363157 2726314 5452628 6815785 13631570 17721041 27263140 35442082 70884164 88605205 177210410 354420820