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307457229436 = 227192254911933
BaseRepresentation
bin1000111100101011110…
…00010000001001111100
31002101121020000112101221
410132111320100021330
520014133022320221
6353124403243124
731133035221130
oct4362570201174
91071536015357
10307457229436
11109434655135
124b7069794a4
1322cbaa92cc6
1410c496bd3c0
157ee71e3541
hex4795e1027c

307457229436 has 72 divisors (see below), whose sum is σ = 649290751200. Its totient is φ = 124772828544.

The previous prime is 307457229353. The next prime is 307457229439. The reversal of 307457229436 is 634922754703.

It is a super-2 number, since 2×3074572294362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307457229439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25759326 + ... + 25771258.

It is an arithmetic number, because the mean of its divisors is an integer number (9017927100).

Almost surely, 2307457229436 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 307457229436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324645375600).

307457229436 is an abundant number, since it is smaller than the sum of its proper divisors (341833521764).

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

307457229436 is a wasteful number, since it uses less digits than its factorization.

307457229436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14531 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 52.

The spelling of 307457229436 in words is "three hundred seven billion, four hundred fifty-seven million, two hundred twenty-nine thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 2549 5054 5098 10108 10196 11933 17843 23866 35686 47732 48431 71372 83531 96862 167062 193724 226727 334124 339017 453454 678034 906908 920189 1356068 1587089 1840378 3174178 3680756 4307813 6348356 6441323 8615626 12882646 17231252 25765292 30154691 30417217 60309382 60834434 120618764 121668868 212920519 425841038 577927123 851682076 1155854246 2311708492 4045489861 8090979722 10980615337 16181959444 21961230674 43922461348 76864307359 153728614718 307457229436