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3457134480 = 243514404727
BaseRepresentation
bin1100111000001111…
…1010111110010000
322220221012121221210
43032003322332100
524040011300410
61331014220120
7151446105162
oct31603727620
98827177853
103457134480
11151450a338
12805954640
1343130b707
1424b200932
15153791220
hexce0faf90

3457134480 has 40 divisors (see below), whose sum is σ = 10717117632. Its totient is φ = 921902464.

The previous prime is 3457134451. The next prime is 3457134481. The reversal of 3457134480 is 844317543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3457134481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7202124 + ... + 7202603.

Almost surely, 23457134480 is an apocalyptic number.

3457134480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3457134480 is an abundant number, since it is smaller than the sum of its proper divisors (7259983152).

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

3457134480 is a wasteful number, since it uses less digits than its factorization.

3457134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14404743 (or 14404737 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3457134480 is about 58797.4019834210. The cubic root of 3457134480 is about 1512.0706764085.

The spelling of 3457134480 in words is "three billion, four hundred fifty-seven million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14404727 28809454 43214181 57618908 72023635 86428362 115237816 144047270 172856724 216070905 230475632 288094540 345713448 432141810 576189080 691426896 864283620 1152378160 1728567240 3457134480