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145346994 = 233131971051
BaseRepresentation
bin10001010100111…
…01000110110010
3101010111101121000
420222131012302
5244202100434
622231142430
73413300112
oct1052350662
9333441530
10145346994
1175054391
1240814a16
1324160050
1415437042
15cb60b99
hex8a9d1b2

145346994 has 64 divisors (see below), whose sum is σ = 349937280. Its totient is φ = 44452800.

The previous prime is 145346933. The next prime is 145347029. The reversal of 145346994 is 499643541.

It is a super-2 number, since 2×1453469942 = 42251497329672072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137769 + ... + 138819.

It is an arithmetic number, because the mean of its divisors is an integer number (5467770).

Almost surely, 2145346994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145346994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174968640).

145346994 is an abundant number, since it is smaller than the sum of its proper divisors (204590286).

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

145346994 is a wasteful number, since it uses less digits than its factorization.

145346994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 145346994 is about 12055.9941108148. The cubic root of 145346994 is about 525.7775254666. Note that the first 3 decimals are identical.

It can be divided in two parts, 14534 and 6994, that added together give a triangular number (21528 = T207).

The spelling of 145346994 in words is "one hundred forty-five million, three hundred forty-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 197 234 351 394 591 702 1051 1182 1773 2102 2561 3153 3546 5122 5319 6306 7683 9459 10638 13663 15366 18918 23049 27326 28377 40989 46098 56754 69147 81978 122967 138294 207047 245934 368901 414094 621141 737802 1242282 1863423 2691611 3726846 5383222 5590269 8074833 11180538 16149666 24224499 48448998 72673497 145346994