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1319942304 = 25343116427
BaseRepresentation
bin100111010101100…
…1011100010100000
310101222201000110000
41032223023202200
510200401123204
6334550540000
744465216202
oct11653134240
93358630400
101319942304
1161808920a
1230a067600
131805cb065
14c7432772
157ad2e039
hex4eacb8a0

1319942304 has 120 divisors (see below), whose sum is σ = 4007380608. Its totient is φ = 425761920.

The previous prime is 1319942287. The next prime is 1319942311. The reversal of 1319942304 is 4032499131.

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, 72139 + ... + 88565.

Almost surely, 21319942304 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 1319942304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003690304).

1319942304 is an abundant number, since it is smaller than the sum of its proper divisors (2687438304).

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

1319942304 is a wasteful number, since it uses less digits than its factorization.

1319942304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16463 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1319942304 is about 36331.0102254259. The cubic root of 1319942304 is about 1096.9453278598.

The spelling of 1319942304 in words is "one billion, three hundred nineteen million, nine hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 16427 20088 26784 32854 40176 49281 65708 80352 98562 131416 147843 197124 262832 295686 394248 443529 509237 525664 591372 788496 887058 1018474 1182744 1330587 1527711 1576992 1774116 2036948 2365488 2661174 3055422 3548232 4073896 4583133 4730976 5322348 6110844 7096464 8147792 9166266 10644696 12221688 13749399 14192928 16295584 18332532 21289392 24443376 27498798 36665064 41248197 42578784 48886752 54997596 73330128 82496394 109995192 146660256 164992788 219990384 329985576 439980768 659971152 1319942304