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72342348 = 223131924407
BaseRepresentation
bin1000100111111…
…01101101001100
312001010101001020
410103331231030
5122004423343
611102314140
71535620431
oct423755514
9161111036
1072342348
1137920971
1220288950
1311caba30
149871b88
15653eb83
hex44fdb4c

72342348 has 48 divisors (see below), whose sum is σ = 191358720. Its totient is φ = 21086784.

The previous prime is 72342317. The next prime is 72342373. The reversal of 72342348 is 84324327.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9240 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (3986640).

Almost surely, 272342348 is an apocalyptic number.

72342348 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72342348 is an abundant number, since it is smaller than the sum of its proper divisors (119016372).

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

72342348 is a wasteful number, since it uses less digits than its factorization.

72342348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24446 (or 24444 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 72342348 is about 8505.4305005684. The cubic root of 72342348 is about 416.6750857677.

It can be divided in two parts, 723 and 42348, that added together give a triangular number (43071 = T293).

The spelling of 72342348 in words is "seventy-two million, three hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 24407 48814 73221 97628 146442 292884 317291 463733 634582 927466 951873 1269164 1391199 1854932 1903746 2782398 3807492 5564796 6028529 12057058 18085587 24114116 36171174 72342348