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1072344540 = 2235157113837
BaseRepresentation
bin111111111010101…
…010110111011100
32202201210202011110
4333322222313130
54144010011130
6254224022020
735400530631
oct7772526734
92681722143
101072344540
11500346363
1225b161910
13141219bc7
14a25c0188
1564221ab0
hex3feaaddc

1072344540 has 48 divisors (see below), whose sum is σ = 3021715872. Its totient is φ = 284134656.

The previous prime is 1072344509. The next prime is 1072344583. The reversal of 1072344540 is 454432701.

It is a super-2 number, since 2×10723445402 = 2299845624935623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1072344498 and 1072344507.

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, 47499 + ... + 66338.

It is an arithmetic number, because the mean of its divisors is an integer number (62952414).

Almost surely, 21072344540 is an apocalyptic number.

1072344540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072344540 is an abundant number, since it is smaller than the sum of its proper divisors (1949371332).

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

1072344540 is a wasteful number, since it uses less digits than its factorization.

1072344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114006 (or 114004 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1072344540 is about 32746.6721973394. The cubic root of 1072344540 is about 1023.5556225636. Note that the first 3 decimals are identical.

The spelling of 1072344540 in words is "one billion, seventy-two million, three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 113837 227674 341511 455348 569185 683022 1138370 1366044 1707555 2276740 3415110 6830220 17872409 35744818 53617227 71489636 89362045 107234454 178724090 214468908 268086135 357448180 536172270 1072344540