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730400004 = 22347131751
BaseRepresentation
bin101011100010010…
…000010100000100
31212220101011110000
4223202100110010
52443440300004
6200251001300
724046204035
oct5342202404
91786334400
10730400004
11345323374
12184739230
13b8424469
146d00ca8c
15441c9c39
hex2b890504

730400004 has 60 divisors (see below), whose sum is σ = 1936363968. Its totient is φ = 240030000.

The previous prime is 730399997. The next prime is 730400023. The reversal of 730400004 is 400004037.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 730400004.

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, 7129 + ... + 38879.

Almost surely, 2730400004 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 730400004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968181984).

730400004 is an abundant number, since it is smaller than the sum of its proper divisors (1205963964).

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

730400004 is a wasteful number, since it uses less digits than its factorization.

730400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31838 (or 31827 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 730400004 is about 27025.9135645772. The cubic root of 730400004 is about 900.5757649156.

The spelling of 730400004 in words is "seven hundred thirty million, four hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 11502 23004 31751 63502 95253 127004 190506 285759 381012 571518 857277 1143036 1714554 2254321 2571831 3429108 4508642 5143662 6762963 9017284 10287324 13525926 20288889 27051852 40577778 60866667 81155556 121733334 182600001 243466668 365200002 730400004