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1107431304 = 233771227409
BaseRepresentation
bin100001000000010…
…0000111110001000
32212011211100011020
41002000200332020
54232000300204
6301520032440
736305003460
oct10200407610
92764740136
101107431304
11519130591
1226aa62720
131485832c5
14a7114ba0
1567352bd9
hex42020f88

1107431304 has 128 divisors (see below), whose sum is σ = 3230668800. Its totient is φ = 309818880.

The previous prime is 1107431287. The next prime is 1107431317. The reversal of 1107431304 is 4031347011.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2707452 + ... + 2707860.

It is an arithmetic number, because the mean of its divisors is an integer number (25239600).

Almost surely, 21107431304 is an apocalyptic number.

1107431304 is a gapful number since it is divisible by the number (14) 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 1107431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615334400).

1107431304 is an abundant number, since it is smaller than the sum of its proper divisors (2123237496).

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

1107431304 is a wasteful number, since it uses less digits than its factorization.

1107431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1107431304 is about 33278.0904500243. The cubic root of 1107431304 is about 1034.5995024474.

Adding to 1107431304 its reverse (4031347011), we get a palindrome (5138778315).

The spelling of 1107431304 in words is "one billion, one hundred seven million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 227 284 409 426 454 497 568 681 818 852 908 994 1227 1362 1491 1589 1636 1704 1816 1988 2454 2724 2863 2982 3178 3272 3976 4767 4908 5448 5726 5964 6356 8589 9534 9816 11452 11928 12712 16117 17178 19068 22904 29039 32234 34356 38136 48351 58078 64468 68712 87117 92843 96702 112819 116156 128936 174234 185686 193404 203273 225638 232312 278529 338457 348468 371372 386808 406546 451276 557058 609819 649901 676914 696936 742744 813092 902552 1114116 1219638 1299802 1353828 1626184 1949703 2228232 2439276 2599604 2707656 3899406 4878552 5199208 6591853 7798812 13183706 15597624 19775559 26367412 39551118 46142971 52734824 79102236 92285942 138428913 158204472 184571884 276857826 369143768 553715652 1107431304