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34013253440 = 265372872741
BaseRepresentation
bin11111101011010110…
…010000111101000000
310020210102221022010102
4133223112100331000
51024124343102230
623343034021532
72312610612125
oct375326207500
9106712838112
1034013253440
111347465a811
126712b778a8
13329097718a
14190944c74c
15d4111b045
hex7eb590f40

34013253440 has 56 divisors (see below), whose sum is σ = 83183117352. Its totient is φ = 13237585920.

The previous prime is 34013253401. The next prime is 34013253457. The reversal of 34013253440 is 4435231043.

It can be written as a sum of positive squares in 4 ways, for example, as 19730135296 + 14283118144 = 140464^2 + 119512^2 .

It is a congruent number.

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, 1424531 + ... + 1448210.

Almost surely, 234013253440 is an apocalyptic number.

It is an amenable number.

34013253440 is an abundant number, since it is smaller than the sum of its proper divisors (49169863912).

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

34013253440 is a wasteful number, since it uses less digits than its factorization.

34013253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872795 (or 2872785 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 34013253440 its reverse (4435231043), we get a palindrome (38448484483).

The spelling of 34013253440 in words is "thirty-four billion, thirteen million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 2872741 5745482 11490964 14363705 22981928 28727410 45963856 57454820 91927712 106291417 114909640 183855424 212582834 229819280 425165668 459638560 531457085 850331336 919277120 1062914170 1700662672 2125828340 3401325344 4251656680 6802650688 8503313360 17006626720 34013253440