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3780434080 = 255234110093
BaseRepresentation
bin1110000101010100…
…1101100010100000
3100202110112221122001
43201111031202200
530220242342310
61423043453344
7162453105463
oct34125154240
910673487561
103780434080
11166aa58095
12896087254
134832a6757
1427c11b2da
15171d5393a
hexe154d8a0

3780434080 has 48 divisors (see below), whose sum is σ = 8935975944. Its totient is φ = 1511377920.

The previous prime is 3780434023. The next prime is 3780434101. The reversal of 3780434080 is 804340873.

It can be written as a sum of positive squares in 4 ways, for example, as 3256756624 + 523677456 = 57068^2 + 22884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369514 + ... + 379606.

Almost surely, 23780434080 is an apocalyptic number.

It is an amenable number.

3780434080 is an abundant number, since it is smaller than the sum of its proper divisors (5155541864).

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

3780434080 is a wasteful number, since it uses less digits than its factorization.

3780434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 3780434080 is about 61485.2346502801. The cubic root of 3780434080 is about 1557.8078567873.

The spelling of 3780434080 in words is "three billion, seven hundred eighty million, four hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2341 4682 9364 10093 11705 18728 20186 23410 37456 40372 46820 50465 74912 80744 93640 100930 161488 187280 201860 322976 374560 403720 807440 1614880 23627713 47255426 94510852 118138565 189021704 236277130 378043408 472554260 756086816 945108520 1890217040 3780434080