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3073138704 = 24342938093
BaseRepresentation
bin1011011100101100…
…0110000000010000
321221011122121210000
42313023012000100
522243210414304
61224540010000
7136104151026
oct26713060020
97834577700
103073138704
111337785659
12719230900
1339c8b188c
14212204716
1512ebde939
hexb72c6010

3073138704 has 100 divisors (see below), whose sum is σ = 8926014636. Its totient is φ = 1020757248.

The previous prime is 3073138699. The next prime is 3073138753. The reversal of 3073138704 is 4078313703.

It can be written as a sum of positive squares in 2 ways, for example, as 2258150400 + 814988304 = 47520^2 + 28548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375682 + ... + 383774.

Almost surely, 23073138704 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 3073138704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463007318).

3073138704 is an abundant number, since it is smaller than the sum of its proper divisors (5852875932).

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

3073138704 is a wasteful number, since it uses less digits than its factorization.

3073138704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3073138704 is about 55435.8972507887. The cubic root of 3073138704 is about 1453.8760668768.

The spelling of 3073138704 in words is "three billion, seventy-three million, one hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 293 324 432 586 648 879 1172 1296 1758 2344 2637 3516 4688 5274 7032 7911 8093 10548 14064 15822 16186 21096 23733 24279 31644 32372 42192 47466 48558 63288 64744 72837 94932 97116 126576 129488 145674 189864 194232 218511 291348 379728 388464 437022 582696 655533 874044 1165392 1311066 1748088 2371249 2622132 3496176 4742498 5244264 7113747 9484996 10488528 14227494 18969992 21341241 28454988 37939984 42682482 56909976 64023723 85364964 113819952 128047446 170729928 192071169 256094892 341459856 384142338 512189784 768284676 1024379568 1536569352 3073138704