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1074838440 = 233513688999
BaseRepresentation
bin100000000010000…
…1011101110101000
32202220111110011010
41000010023232220
54200124312230
6254353303520
735430655524
oct10004135650
92686443133
101074838440
1150179a035
1225bb64ba0
131418b10a0
14a2a6cd84
15645659b0
hex4010bba8

1074838440 has 64 divisors (see below), whose sum is σ = 3472560000. Its totient is φ = 264575232.

The previous prime is 1074838439. The next prime is 1074838451. The reversal of 1074838440 is 448384701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342940 + ... + 346059.

It is an arithmetic number, because the mean of its divisors is an integer number (54258750).

Almost surely, 21074838440 is an apocalyptic number.

1074838440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074838440 is an abundant number, since it is smaller than the sum of its proper divisors (2397721560).

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

1074838440 is a wasteful number, since it uses less digits than its factorization.

1074838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689026 (or 689022 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 1074838440 is about 32784.7287620319. The cubic root of 1074838440 is about 1024.3484862283.

The spelling of 1074838440 in words is "one billion, seventy-four million, eight hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 688999 1377998 2066997 2755996 3444995 4133994 5511992 6889990 8267988 8956987 10334985 13779980 16535976 17913974 20669970 26870961 27559960 35827948 41339940 44784935 53741922 71655896 82679880 89569870 107483844 134354805 179139740 214967688 268709610 358279480 537419220 1074838440