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1238122340 = 225713739319
BaseRepresentation
bin100100111001100…
…0011111101100100
310012021202010112222
41021303003331210
510013424403330
6322505131512
742452603060
oct11163037544
93167663488
101238122340
11585984704
122a6789b98
13169681490
14ba614aa0
1573a6b0e5
hex49cc3f64

1238122340 has 96 divisors (see below), whose sum is σ = 3244254720. Its totient is φ = 386436096.

The previous prime is 1238122309. The next prime is 1238122351. The reversal of 1238122340 is 432218321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128201 + ... + 137519.

It is an arithmetic number, because the mean of its divisors is an integer number (33794320).

Almost surely, 21238122340 is an apocalyptic number.

1238122340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622127360).

1238122340 is an abundant number, since it is smaller than the sum of its proper divisors (2006132380).

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

1238122340 is a wasteful number, since it uses less digits than its factorization.

1238122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1238122340 is about 35186.9626424333. The cubic root of 1238122340 is about 1073.7945283012.

The spelling of 1238122340 in words is "one billion, two hundred thirty-eight million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 1022 1460 1820 1898 2044 2555 3796 4745 5110 6643 9319 9490 10220 13286 18638 18980 26572 33215 37276 46595 65233 66430 93190 121147 130466 132860 186380 242294 260932 326165 484588 605735 652330 680287 848029 1211470 1304660 1360574 1696058 2422940 2721148 3392116 3401435 4240145 4762009 6802870 8480290 8843731 9524018 13605740 16960580 17687462 19048036 23810045 35374924 44218655 47620090 61906117 88437310 95240180 123812234 176874620 247624468 309530585 619061170 1238122340