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1041345152 = 2761197677
BaseRepresentation
bin111110000100011…
…010101010000000
32200120110210222222
4332010122222000
54113041021102
6251155350212
734543200461
oct7604325200
92616423888
101041345152
114948a3031
122508b2368
13137985083
149c430d68
156164baa2
hex3e11aa80

1041345152 has 64 divisors (see below), whose sum is σ = 2122397640. Its totient is φ = 508784640.

The previous prime is 1041345139. The next prime is 1041345157. The reversal of 1041345152 is 2515431401.

It can be written as a sum of positive squares in 4 ways, for example, as 1040965696 + 379456 = 32264^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1041345157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1537838 + ... + 1538514.

Almost surely, 21041345152 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 1041345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061198820).

1041345152 is an abundant number, since it is smaller than the sum of its proper divisors (1081052488).

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

1041345152 is an equidigital number, since it uses as much as digits as its factorization.

1041345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1041345152 is about 32269.8799501950. The cubic root of 1041345152 is about 1013.5960276156.

Adding to 1041345152 its reverse (2515431401), we get a palindrome (3556776553).

The spelling of 1041345152 in words is "one billion, forty-one million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 197 244 394 488 677 788 976 1354 1576 1952 2708 3152 3904 5416 6304 7808 10832 12017 12608 21664 24034 25216 41297 43328 48068 82594 86656 96136 133369 165188 192272 266738 330376 384544 533476 660752 769088 1066952 1321504 1538176 2133904 2643008 4267808 5286016 8135509 8535616 16271018 17071232 32542036 65084072 130168144 260336288 520672576 1041345152