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34937140 = 2257614091
BaseRepresentation
bin1000010101000…
…1100100110100
32102201222202011
42011101210310
532420442030
63244454004
7602650360
oct205214464
972658664
1034937140
11187a2877
12b84a304
137313284
1448d62a0
153101b2a
hex2151934

34937140 has 48 divisors (see below), whose sum is σ = 85244544. Its totient is φ = 11779200.

The previous prime is 34937131. The next prime is 34937153. The reversal of 34937140 is 4173943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6495 + ... + 10585.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 234937140 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 34937140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622272).

34937140 is an abundant number, since it is smaller than the sum of its proper divisors (50307404).

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

34937140 is a wasteful number, since it uses less digits than its factorization.

34937140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 34937140 is about 5910.7647559347. The cubic root of 34937140 is about 326.9106858297.

The spelling of 34937140 in words is "thirty-four million, nine hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4091 4270 8182 8540 16364 20455 28637 40910 57274 81820 114548 143185 249551 286370 499102 572740 998204 1247755 1746857 2495510 3493714 4991020 6987428 8734285 17468570 34937140