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464309940 = 223531594231
BaseRepresentation
bin11011101011001…
…100111010110100
31012100200101111110
4123223030322310
51422330404230
6114023435020
714335366203
oct3353147264
91170611443
10464309940
112190aaa26
1210b5b5a70
137526a213
144594523a
152ab684b0
hex1bacceb4

464309940 has 96 divisors (see below), whose sum is σ = 1365073920. Its totient is φ = 117763200.

The previous prime is 464309921. The next prime is 464309941. The reversal of 464309940 is 49903464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464309941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107625 + ... + 111855.

It is an arithmetic number, because the mean of its divisors is an integer number (14219520).

Almost surely, 2464309940 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 464309940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682536960).

464309940 is an abundant number, since it is smaller than the sum of its proper divisors (900763980).

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

464309940 is a wasteful number, since it uses less digits than its factorization.

464309940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 464309940 is about 21547.8523291766. The cubic root of 464309940 is about 774.3476661246.

The spelling of 464309940 in words is "four hundred sixty-four million, three hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 62 93 118 124 155 177 186 236 295 310 354 372 465 590 620 708 885 930 1180 1770 1829 1860 3540 3658 4231 5487 7316 8462 9145 10974 12693 16924 18290 21155 21948 25386 27435 36580 42310 50772 54870 63465 84620 109740 126930 131161 249629 253860 262322 393483 499258 524644 655805 748887 786966 998516 1248145 1311610 1497774 1573932 1967415 2496290 2623220 2995548 3744435 3934830 4992580 7488870 7738499 7869660 14977740 15476998 23215497 30953996 38692495 46430994 77384990 92861988 116077485 154769980 232154970 464309940