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46344040 = 23517219211
BaseRepresentation
bin1011000011001…
…0011101101000
310020012112001221
42300302131220
543331002130
64333151424
71101626551
oct260623550
9106175057
1046344040
1124183a66
121362b574
1397a8312
146225328
15410687a
hex2c32768

46344040 has 96 divisors (see below), whose sum is σ = 117151200. Its totient is φ = 16450560.

The previous prime is 46344037. The next prime is 46344047. The reversal of 46344040 is 4044364.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46343996 and 46344014.

It is not an unprimeable number, because it can be changed into a prime (46344047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219535 + ... + 219745.

It is an arithmetic number, because the mean of its divisors is an integer number (1220325).

Almost surely, 246344040 is an apocalyptic number.

46344040 is a gapful number since it is divisible by the number (40) 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 46344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58575600).

46344040 is an abundant number, since it is smaller than the sum of its proper divisors (70807160).

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

46344040 is a wasteful number, since it uses less digits than its factorization.

46344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 46344040 is about 6807.6457017092. The cubic root of 46344040 is about 359.1958387621.

The spelling of 46344040 in words is "forty-six million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 211 289 323 340 380 422 578 646 680 760 844 1055 1156 1292 1445 1615 1688 2110 2312 2584 2890 3230 3587 4009 4220 5491 5780 6460 7174 8018 8440 10982 11560 12920 14348 16036 17935 20045 21964 27455 28696 32072 35870 40090 43928 54910 60979 68153 71740 80180 109820 121958 136306 143480 160360 219640 243916 272612 304895 340765 487832 545224 609790 681530 1158601 1219580 1363060 2317202 2439160 2726120 4634404 5793005 9268808 11586010 23172020 46344040