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10342464 = 263115983
BaseRepresentation
bin100111011101…
…000001000000
3201110110012020
4213131001000
510121424324
61005401440
7153623646
oct47350100
921413166
1010342464
1159244a0
123569280
1321b1702
141533196
15d94679
hex9dd040

10342464 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3043840.

The previous prime is 10342457. The next prime is 10342469. The reversal of 10342464 is 46424301.

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

It is not an unprimeable number, because it can be changed into a prime (10342469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124567 + ... + 124649.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 210342464 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 10342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

10342464 is an abundant number, since it is smaller than the sum of its proper divisors (20381376).

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

10342464 is a wasteful number, since it uses less digits than its factorization.

10342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10342464 is about 3215.9701491152. The cubic root of 10342464 is about 217.8753039364.

Adding to 10342464 its reverse (46424301), we get a palindrome (56766765).

The spelling of 10342464 in words is "ten million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 83 88 96 118 132 166 176 177 192 236 249 264 332 352 354 472 498 528 649 664 704 708 913 944 996 1056 1298 1328 1416 1826 1888 1947 1992 2112 2596 2656 2739 2832 3652 3776 3894 3984 4897 5192 5312 5478 5664 7304 7788 7968 9794 10384 10956 11328 14608 14691 15576 15936 19588 20768 21912 29216 29382 31152 39176 41536 43824 53867 58432 58764 62304 78352 87648 107734 117528 124608 156704 161601 175296 215468 235056 313408 323202 430936 470112 646404 861872 940224 1292808 1723744 2585616 3447488 5171232 10342464