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370424390625 = 34565412
BaseRepresentation
bin1010110001111110000…
…00111010001111100001
31022102010111211202010000
411120333000322033201
522032112121000000
6442100504130213
735522314240422
oct5307700721741
91272114752100
10370424390625
11133106a03323
125b95a466969
1328c14177573
1413d0026b649
1599801a0000
hex563f03a3e1

370424390625 has 105 divisors (see below), whose sum is σ = 692959547973. Its totient is φ = 197194500000.

The previous prime is 370424390603. The next prime is 370424390627. The reversal of 370424390625 is 526093424073.

The square root of 370424390625 is 608625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 276037804449 + 94386586176 = 525393^2 + 307224^2 .

It is not a de Polignac number, because 370424390625 - 25 = 370424390593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (370424390627) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 684702855 + ... + 684703395.

Almost surely, 2370424390625 is an apocalyptic number.

370424390625 is the 608625-th square number.

370424390625 is the 304313-rd centered octagonal number.

It is an amenable number.

370424390625 is a deficient number, since it is larger than the sum of its proper divisors (322535157348).

370424390625 is an frugal number, since it uses more digits than its factorization.

370424390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 370424390625 in words is "three hundred seventy billion, four hundred twenty-four million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 541 625 675 1125 1623 1875 2025 2705 3125 3375 4869 5625 8115 9375 10125 13525 14607 15625 16875 24345 28125 40575 43821 46875 50625 67625 73035 84375 121725 140625 202875 219105 253125 292681 338125 365175 421875 608625 878043 1014375 1095525 1265625 1463405 1690625 1825875 2634129 3043125 4390215 5071875 5477625 7317025 7902387 8453125 9129375 13170645 15215625 21951075 23707161 25359375 27388125 36585125 39511935 45646875 65853225 76078125 109755375 118535805 136940625 182925625 197559675 228234375 329266125 548776875 592679025 684703125 914628125 987798375 1646330625 2743884375 2963395125 4573140625 4938991875 8231653125 13719421875 14816975625 24694959375 41158265625 74084878125 123474796875 370424390625