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390345050176 = 2629226932
BaseRepresentation
bin1011010111000100110…
…00001100100001000000
31101022112211002002201121
411223202120030201000
522343411313101201
6455153321042024
740126054116154
oct5534230144100
91338484062647
10390345050176
111405a9671724
1263799926314
132aa6a293093
1414c6dbbd064
15a248e979a1
hex5ae260c840

390345050176 has 63 divisors (see below), whose sum is σ = 802520029831. Its totient is φ = 188372463104.

The previous prime is 390345050171. The next prime is 390345050267. The reversal of 390345050176 is 671050543093.

The square root of 390345050176 is 624776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1687566400 + 388657483776 = 41080^2 + 623424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390345050171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144946686 + ... + 144949378.

Almost surely, 2390345050176 is an apocalyptic number.

390345050176 is the 624776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390345050176

390345050176 is an abundant number, since it is smaller than the sum of its proper divisors (412174979655).

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

390345050176 is an frugal number, since it uses more digits than its factorization.

390345050176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 390345050176 in words is "three hundred ninety billion, three hundred forty-five million, fifty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 2693 3364 5386 6728 10772 13456 21544 26912 43088 53824 78097 86176 156194 172352 312388 624776 1249552 2264813 2499104 4529626 4998208 7252249 9059252 14504498 18118504 29008996 36237008 58017992 72474016 116035984 144948032 210315221 232071968 420630442 464143936 841260884 1682521768 3365043536 6099141409 6730087072 12198282818 13460174144 24396565636 48793131272 97586262544 195172525088 390345050176