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1234294992 = 243278314753
BaseRepresentation
bin100100110010001…
…1101100011010000
310012000112200102100
41021210131203100
510011434414432
6322251120400
742405222450
oct11144354320
93160480370
101234294992
11583800107
122a5443100
13168941388
14b9cd9d60
157356207c
hex4991d8d0

1234294992 has 120 divisors (see below), whose sum is σ = 3995619264. Its totient is φ = 348383232.

The previous prime is 1234294981. The next prime is 1234294993. The reversal of 1234294992 is 2994924321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234294993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76288 + ... + 91040.

Almost surely, 21234294992 is an apocalyptic number.

1234294992 is a gapful number since it is divisible by the number (12) 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 1234294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997809632).

1234294992 is an abundant number, since it is smaller than the sum of its proper divisors (2761324272).

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

1234294992 is a wasteful number, since it uses less digits than its factorization.

1234294992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14857 (or 14848 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1234294992 is about 35132.5346651789. The cubic root of 1234294992 is about 1072.6869297791.

The spelling of 1234294992 in words is "one billion, two hundred thirty-four million, two hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10458 11952 13944 14753 20916 27888 29506 41832 44259 59012 83664 88518 103271 118024 132777 177036 206542 236048 265554 309813 354072 413084 531108 619626 708144 826168 929439 1062216 1224499 1239252 1652336 1858878 2124432 2448998 2478504 3673497 3717756 4897996 4957008 7346994 7435512 8571493 9795992 11020491 14693988 14871024 17142986 19591984 22040982 25714479 29387976 34285972 44081964 51428958 58775952 68571944 77143437 88163928 102857916 137143888 154286874 176327856 205715832 308573748 411431664 617147496 1234294992